The slope is -1 because the number beside x is always the slope and the y-intercept is 1 because the number being added or subtracted from x is always the y intercept
Answer: 120
Step-by-step explanation:
Given : The league championship 800 meter race has 6 runners.
The number of positions = 3
Since order matters here , so we use Permutation.
The permutation of n things taking r at a time is given by :-
Then, the number of different ways they place first, second, and third :_
Hence, they can place first, second, and third in 120 different ways .
Answer:
2 2/3 cups of sugar
Step-by-step explanation:
If your ratio is 3 flour to 4 sugar, and you use 2 cups of flour, set up your proportion as follows:
Cross multiply to get 3x = 8 and x = 8/3 which is 2 and 2/3 cups of sugar.
Answer:
Step-by-step explanation:
Given
The central angle of a sector measures
The radius of the circle is
The area of the sector is given by
Insert the values
14 inches. A 30-60-90 triangle has a set ratio for the sides which is x:x√3:2x for the sides opposite the corresponding angle. (30 = x, 60 = x√3, 90 =2x) the shortest side is the side opposite the 30-degree angle so x=7. The hypotenuse is the side opposite the 90-degree angle. they hypotenuse = 2x. Substitute x. 2(7)=14